Wavelet Threshold Denoising for High Speed Satellite Communication

The principle of wavelet threshold de-noising is described in detail. Daubechies wavelet function is selected to denoise the sinusoidal signal with noise. The relationship between the order of wavelet function, the number of decomposition layers, the number of signal samples and the signal-to-noise ratio of denoised signal is demonstrated. At the same time, the calculation methods of fixed threshold, unbiased risk estimation threshold, mixed threshold and mini threshold max threshold are summarized, and then the denoising effects of hard threshold, soft threshold and semi soft threshold functions are compared. By analyzing the distribution of wavelet decomposition coefficients and combining with the characteristics of other threshold functions, a new wavelet threshold function is designed and compared with other threshold functions.